6,543 research outputs found
Analytical study of aerodynamic means of controlling supersonic inlet flow, part I Technical report no. 495B
Means for achieving variable geometry supersonic inlet without using mechanical device
Analytical study of aerodynamic means of controlling supersonic inlet flow, part II TECHNICAL report no. 496E
Aerodynamic means of controlling supersonic inlet flo
Critical Behavior of the Conductivity of Si:P at the Metal-Insulator Transition under Uniaxial Stress
We report new measurements of the electrical conductivity sigma of the
canonical three-dimensional metal-insulator system Si:P under uniaxial stress
S. The zero-temperature extrapolation of sigma(S,T -> 0) ~\S - S_c\^mu shows an
unprecidentedly sharp onset of finite conductivity at S_c with an exponent mu =
1. The value of mu differs significantly from that of earlier stress-tuning
results. Our data show dynamical sigma(S,T) scaling on both metallic and
insulating sides, viz. sigma(S,T) = sigma_c(T) F(\S - S_cT^y) where sigma_c(T)
is the conductivity at the critical stress S_c. We find y = 1/znu = 0.34 where
nu is the correlation-length exponent and z the dynamic critical exponent.Comment: 5 pages, 4 figure
Baby-Step Giant-Step Algorithms for the Symmetric Group
We study discrete logarithms in the setting of group actions. Suppose that
is a group that acts on a set . When , a solution
to can be thought of as a kind of logarithm. In this paper, we study
the case where , and develop analogs to the Shanks baby-step /
giant-step procedure for ordinary discrete logarithms. Specifically, we compute
two sets such that every permutation of can be
written as a product of elements and . Our
deterministic procedure is optimal up to constant factors, in the sense that
and can be computed in optimal asymptotic complexity, and and
are a small constant from in size. We also analyze randomized
"collision" algorithms for the same problem
Variational Approach to Gaussian Approximate Coherent States: Quantum Mechanics and Minisuperspace Field Theory
This paper has a dual purpose. One aim is to study the evolution of coherent
states in ordinary quantum mechanics. This is done by means of a Hamiltonian
approach to the evolution of the parameters that define the state. The
stability of the solutions is studied. The second aim is to apply these
techniques to the study of the stability of minisuperspace solutions in field
theory. For a theory we show, both by means of perturbation
theory and rigorously by means of theorems of the K.A.M. type, that the
homogeneous minisuperspace sector is indeed stable for positive values of the
parameters that define the field theory.Comment: 26 pages, Plain TeX, no figure
Conductivity of Metallic Si:B near the Metal-Insulator Transition: Comparison between Unstressed and Uniaxially Stressed Samples
The low-temperature dc conductivities of barely metallic samples of p-type
Si:B are compared for a series of samples with different dopant concentrations,
n, in the absence of stress (cubic symmetry), and for a single sample driven
from the metallic into the insulating phase by uniaxial compression, S. For all
values of temperature and stress, the conductivity of the stressed sample
collapses onto a single universal scaling curve. The scaling fit indicates that
the conductivity of si:B is proportional to the square-root of T in the
critical range. Our data yield a critical conductivity exponent of 1.6,
considerably larger than the value reported in earlier experiments where the
transition was crossed by varying the dopant concentration. The larger exponent
is based on data in a narrow range of stress near the critical value within
which scaling holds. We show explicitly that the temperature dependences of the
conductivity of stressed and unstressed Si:B are different, suggesting that a
direct comparison of the critical behavior and critical exponents for stress-
tuned and concentration-tuned transitions may not be warranted
Continuous and Discontinuous Quantum Phase Transitions in a Model Two-Dimensional Magnet
The Shastry-Sutherland model, which consists of a set of spin 1/2 dimers on a
2-dimensional square lattice, is simple and soluble, but captures a central
theme of condensed matter physics by sitting precariously on the quantum edge
between isolated, gapped excitations and collective, ordered ground states. We
compress the model Shastry-Sutherland material, SrCu2(BO3)2, in a diamond anvil
cell at cryogenic temperatures to continuously tune the coupling energies and
induce changes in state. High-resolution x-ray measurements exploit what
emerges as a remarkably strong spin-lattice coupling to both monitor the
magnetic behavior and the absence or presence of structural discontinuities. In
the low-pressure spin-singlet regime, the onset of magnetism results in an
expansion of the lattice with decreasing temperature, which permits a
determination of the pressure dependent energy gap and the almost isotropic
spin-lattice coupling energies. The singlet-triplet gap energy is suppressed
continuously with increasing pressure, vanishing completely by 2 GPa. This
continuous quantum phase transition is followed by a structural distortion at
higher pressure.Comment: 16 pages, 4 figures. Accepted for publication in PNA
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